Evaluating the Accuracy of Small P-Values In Genetic Association Studies Using Edgeworth Expansions

doi:10.1111/sjos.12283

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	Evaluating the Accuracy of Small P-Values In Genetic Association Studies Using Edgeworth Expansions
	Zheng, Gang 1; Xiong, Jinghong 2; Li, Qizhai2 ; Xu, Jinfeng 3; Yuan, Ao 4; Gastwirth, Joe L.5
刊名	SCANDINAVIAN JOURNAL OF STATISTICS
	2018-03-01
卷号	45 期号:1 页码:1-33
关键词	chi-squared test Edgeworth expansion maximin efficiency robust test (MERT) maximum likelihood estimate nuisance parameter
ISSN号	0303-6898
DOI	10.1111/sjos.12283
英文摘要	The asymptotic distributions of many classical test statistics are normal. The resulting approximations are often accurate for commonly used significance levels, 0.05 or 0.01. In genome-wide association studies, however, the significance level can be as low as 1x10(-7), and the accuracy of the p-values can be challenging. We study the accuracies of these small p-values are using two-term Edgeworth expansions for three commonly used test statistics in GWAS. These tests have nuisance parameters not defined under the null hypothesis but estimable. We derive results for this general form of testing statistics using Edgeworth expansions, and find that the commonly used score test, maximin efficiency robust test and the chi-squared test are second order accurate in the presence of the nuisance parameter, justifying the use of the p-values obtained from these tests in the genome-wide association studies.
资助项目	Special National Key Research and Development Plan[2016YFD0400206] ; Breakthrough Project of Strategic Priority Program of the Chinese Academy of Sciences[XDB13040600] ; Youth Innovation Promotion Association of the Chinese Academy of Sciences
WOS研究方向	Mathematics
语种	英语
出版者	WILEY
WOS记录号	WOS:000424656000001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/29730]
专题	系统科学研究所
通讯作者	Yuan, Ao
作者单位	1.NHLBI, Off Biostat Res, Bldg 10, Bethesda, MD 20892 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Hong Kong, Dept Stat & Actuarial Sci, Pokfulam, Hong Kong, Peoples R China 4.Georgetown Univ, Dept Biostat Bioinformat & Biomath, Washington, DC 20057 USA 5.George Washington Univ, Dept Stat, Washington, DC 20052 USA
推荐引用方式 GB/T 7714	Zheng, Gang,Xiong, Jinghong,Li, Qizhai,et al. Evaluating the Accuracy of Small P-Values In Genetic Association Studies Using Edgeworth Expansions[J]. SCANDINAVIAN JOURNAL OF STATISTICS,2018,45(1):1-33.
APA	Zheng, Gang,Xiong, Jinghong,Li, Qizhai,Xu, Jinfeng,Yuan, Ao,&Gastwirth, Joe L..(2018).Evaluating the Accuracy of Small P-Values In Genetic Association Studies Using Edgeworth Expansions.SCANDINAVIAN JOURNAL OF STATISTICS,45(1),1-33.
MLA	Zheng, Gang,et al."Evaluating the Accuracy of Small P-Values In Genetic Association Studies Using Edgeworth Expansions".SCANDINAVIAN JOURNAL OF STATISTICS 45.1(2018):1-33.